The number of palindromic factors of a given finite word is bounded above by its length increased by 1. The difference between this upper bound and the actual number of palindromic factors of a given word is called the palindromic defect (or only defect) of a given word (by definition, the defect is always nonnegative). Though the definition of defect fundamentally relies on finiteness of a given word, it can be naturally extended to infinite words. There are many results in the literature about words of defect 0, but there are significantly less results about infinite words of finite positive defect. In this article we construct a new family of infinite words whose defect is finite, and in many cases positive (with fully characterized cases when the defect is 0). All the words from our family have the set of factors closed under reversal, and each of them is either periodic (which is a less interesting case, and explicitly characterized), or recurrent but not uniformly recurrent. The fact that they are not uniformly recurrent (unless they are periodic) is of a particular significance since: first, there are some results and examples here and there featuring uniformly recurrent words of finite defect, while next to nothing is known about aperiodic words that are not uniformly recurrent; second, it is known that any uniformly recurrent word of finite defect is a morphic image of some word of zero defect, which suggests that uniformly recurrent words are in a way pretty “tame,” and that those that are not uniformly recurrent are an unexplored territory that deserves a closer look.

给定有限单词的回文因子数量以其长度增加1为界。该上限与给定单词的实际回文因子数量之差称为回文缺陷（或仅称为缺陷））（根据定义，缺陷总是非负的）。尽管缺陷的定义从根本上取决于给定单词的有限性，但可以自然地将其扩展到无限单词。在文献中，关于缺陷0的单词的结果很多，但是关于有限正缺陷的无限个单词的结果要少得多。在本文中，我们构造了一个新的无穷词族，其缺陷是有限的，并且在许多情况下为正（在缺陷为0时具有充分特征的情况）。我们家族中的所有词语都有一组因逆转而封闭的因素，并且每个因素要么是周期性的（这是一个不太有趣的情况，并且已明确表征），要么是周期性的但不是统一的周期性。它们不是统一复发的（除非它们是周期性的）这一事实具有特别的意义，因为：首先，这里和那里有一些结果和例子，它们以有限缺陷的统一复现单词为特征，而对于非统一复现的非周期性单词，几乎一无所知。第二，众所周知，有限缺陷的统一复现词是某个零缺陷词的词素图，这表明统一复现词在某种程度上是“驯服”的，而非统一复现词则是未开发的值得仔细研究的领域。